Given numbers are 504,691,182,427,149

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 504,691,182,427,149 is 41149829448.

Find LCM of 504,691,182,427,149 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 7 x 36 x 691 x 13 x 61 x 149 = 41149829448

Therefore, the lowest common multiple of 504,691,182,427,149 is 41149829448.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

504 x 691 x 182 x 427 x 149 = 4032683285904

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

691 : 1, 691

182 : 1, 2, 7, 13, 14, 26, 91, 182

427 : 1, 7, 61, 427

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,691,182,427,149, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

691:691

182:2x 7x 13

427:7x 61

149:149

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7x 7 = 98

Therefore, the value for common factors is 98.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 4032683285904/(1x98)

LCM = 4032683285904/98

LCM = 41149829448

Thus, we can understand that the LCM of 504,691,182,427,149 is 41149829448.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 456, 889, 862, 673, 393
• LCM of 772, 705, 939, 755, 610
• LCM of 839, 160, 229, 181, 981
• LCM of 700, 844, 812, 758, 657
• LCM of 558, 925, 540, 949, 955

1. What is the LCM of 504, 691, 182, 427, 149?

Answer: LCM of 504, 691, 182, 427, 149 is 41149829448.

2. How to calculate the LCM of 504, 691, 182, 427, 149?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 504, 691, 182, 427, 149.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.